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Finding the Fourth Proportional to 48,970.84, 67,589.14 and 27,751

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Solution

The fourth proportional to 48,970.84, 67,589.14 and 27,751 is: 38,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,970.84 : 67,589.14 = 27,751 : x
  2. Step 2: Convert to fraction form
    48,970.84/67,589.14 = 27,751/x
  3. Step 3: Cross multiply
    48,970.84x = 67,589.14 × 27,751
  4. Step 4: Simplify right side
    48,970.84x = 1,875,666,224.14
  5. Step 5: Solve for x
    x = 1,875,666,224.14/48,970.84
  6. Step 6: Final answer
    x = 38,301.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.